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Finding the Fourth Proportional to 58.22, 80.46 and 50.02

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Solution

The fourth proportional to 58.22, 80.46 and 50.02 is: 69.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.22 : 80.46 = 50.02 : x
  2. Step 2: Convert to fraction form
    58.22/80.46 = 50.02/x
  3. Step 3: Cross multiply
    58.22x = 80.46 × 50.02
  4. Step 4: Simplify right side
    58.22x = 4,024.61
  5. Step 5: Solve for x
    x = 4,024.61/58.22
  6. Step 6: Final answer
    x = 69.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.